8428386624 has 224 divisors, whose sum is σ = 26958950400. Its totient is φ = 2270177280.

The previous prime is 8428386611. The next prime is 8428386677. The reversal of 8428386624 is 4266838248.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6102414 + ... + 6103794.

Almost surely, 2^8428386624 is an apocalyptic number.

8428386624 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8428386624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13479475200).

8428386624 is an abundant number, since it is smaller than the sum of its proper divisors (18530563776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8428386624 is a wasteful number, since it uses less digits than its factorization.

8428386624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661 (or 1651 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 51.

The square root of 8428386624 is about 91806.2450163386. The cubic root of 8428386624 is about 2035.0799851849.

The spelling of 8428386624 in words is "eight billion, four hundred twenty-eight million, three hundred eighty-six thousand, six hundred twenty-four".